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solve the simultaneous equation x^2 + 2y = 9 , y - x = 3

First we need to find a value for x in terms of y , this can be done by rearranging the second equation y - x = 3 to give x = y - 3. This equation is then substituted into the first equation so that everythi...
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Answered by Sara B. β€’ Maths tutor
3137 Views

Given: 𝑓(π‘₯) = π‘Žπ‘₯^3 + 𝑏π‘₯^2 βˆ’ 3 and 𝑓"(βˆ’2) = 0. If it is further given that the point (βˆ’3; 6) lies on the graph of 𝑓. Show that π‘Ž = 1/3 and 𝑏 = 2.

We start off by finding the first derivative of equation f(x) = ax 3 + bx 2 - 3: f'(x) = 3ax 2 + 2bx. We now take the second derivative of equation f, because we have been told that f"(-2) = 0: f"(...
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Answered by Neil L. β€’ Maths tutor
3130 Views

Solve the simultaneous equations: 2x + y = 18 and x - y = 6

We need to find a value of x to sub into equation 1, so add y to both sides of equation 2: x = 6 + y. Then sub this into the x value of equation 1 and solve to find y: 2(6 + y) + y = 18. 12 + 2y + y = 18. 3y...
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Answered by Anna W. β€’ Maths tutor
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There are 6 orange sweets in a bag of n sweets. Hannah picks two sweets at random without replacement, and they are both orange. Show that n^2-n-90=0

This is a multi step question that requires both good understanding of probability and maniuplating algebraic fractions.PROBABILITYThe first step is recognizing that as there are 6 orange sweets out of a tot...
BN
Answered by Ben N. β€’ Maths tutor
2857 Views

Solve the simultaneous equations. 2x + y =10 and x + y = 4

We should eliminate one of the variables. We do this by writing them on top of one another.3x + y = 10x + y = 4 - 2x = 6 We want to know what X is and what Y is. We currently know what 2x is so we divide the...
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Answered by Grace N. β€’ Maths tutor
5847 Views